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Finding the Fourth Proportional to 10,136.80, 15,208.98 and 6,196.15

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Solution

The fourth proportional to 10,136.80, 15,208.98 and 6,196.15 is: 9,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.80 : 15,208.98 = 6,196.15 : x
  2. Step 2: Convert to fraction form
    10,136.80/15,208.98 = 6,196.15/x
  3. Step 3: Cross multiply
    10,136.80x = 15,208.98 × 6,196.15
  4. Step 4: Simplify right side
    10,136.80x = 94,237,121.43
  5. Step 5: Solve for x
    x = 94,237,121.43/10,136.80
  6. Step 6: Final answer
    x = 9,296.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.